Question 1134856

 maria can paint the walls of an apartment in 8 hours. After she has worked 3 hours, Pat joins her and they finish the job in 2 hours more. How long would it take Pat to do the whole job without the aid of Maria?
<pre>Maria does the job in 8 hours, or does {{{1/8}}} of job in 1 hr
Pat does the job in P hours, or does {{{1/P}}} of job in 1 hr
Maria works 3 + 2, or 5 hours, while Pat works for 2 hours
We then get: {{{matrix(1,3, 5 * (1/8) + 2 * (1/P), "=", 1)}}}
{{{matrix(1,3, 5/8 + 2/P, "=", 1)}}}
5P + 16 = 8P ----- Multiplying bu LCD, 8P
16 = 8P - 5P
16 = 3P
P, or time Pat takes, alone = {{{highlight_green(matrix(1,4, 16/3, "or", 5&1/3, hours))}}}